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10010222201 = 72412532293
BaseRepresentation
bin10010101001010011…
…11101111001111001
3221211121222222100102
421110221331321321
5131000104102301
64333145445145
7503030325200
oct112451757171
927747888312
1010010222201
114277567111
121b344a07b5
13c36b59205
146ad664237
153d8c2bb6b
hex254a7de79

10010222201 has 36 divisors (see below), whose sum is σ = 12165985836. Its totient is φ = 8209393920.

The previous prime is 10010222171. The next prime is 10010222207. The reversal of 10010222201 is 10222201001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2806456576 + 7203765625 = 52976^2 + 84875^2 .

It is not a de Polignac number, because 10010222201 - 214 = 10010205817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010222207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4364411 + ... + 4366703.

It is an arithmetic number, because the mean of its divisors is an integer number (337944051).

Almost surely, 210010222201 is an apocalyptic number.

It is an amenable number.

10010222201 is a deficient number, since it is larger than the sum of its proper divisors (2155763635).

10010222201 is an equidigital number, since it uses as much as digits as its factorization.

10010222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10010222201 its reverse (10222201001), we get a palindrome (20232423202).

The spelling of 10010222201 in words is "ten billion, ten million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 7 41 49 53 287 371 1681 2009 2173 2293 2597 11767 15211 16051 82369 89093 94013 106477 112357 121529 623651 658091 850703 3854533 4365557 4606637 4982689 5954921 26981731 34878823 188872117 204290249 244151761 1430031743 10010222201